document.write( "Question 1187916: Find the focus and directrix of the parabola x^2=12y \n" ); document.write( "

Algebra.Com's Answer #818937 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "The standard form is $\"%28x+-+h%29%5E2+=+4p+%28y+-+k%29\"$ , where the focus is ( $\"h\"$ , $\"k+%2B+p\"$ ) and the directrix is $\"y+=+k+-+p\"$ .\r
\n" ); document.write( "\n" ); document.write( "given:\r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2=12y\"$ ...in the standard form will be\r
\n" ); document.write( "\n" ); document.write( " $\"%28x-0%29%5E2=12%28y-0%29\"$ ...=> $\"4p=12\"$ => $\"p=3\"$ , $\"h=0\"$ , $\"k=0\"$ \r
\n" ); document.write( "\n" ); document.write( " the focus is ( $\"0\"$ , $\"0+%2B+3\"$ ) =>( $\"0\"$ , $\"3\"$ ) \r
\n" ); document.write( "\n" ); document.write( " the directrix is $\"y+=+k+-+p+\"$ => $\"y+=+0+-+3+\"$ => $\"y+=++-+3+\"$ \r
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